Question

A sound wave traveling through a certain freshwater lake has a frequency of 349.2 Hz and a wavelength of 4.25 m. What is the speed of a sound wave in this water?

Answer 1

The speed of a sound wave in this water is 1,484.1
`(m)/(s)`

Step-by-step explanation:

The wavelength is the minimum distance between two points of the wave that are in the same state of vibration.

Frequency is the number of vibrations that occur in a unit of time. That is to say, it is a magnitude that measures the amount of repetitions that an event can have per unit of time.

The speed of propagation is the speed with which the wave propagates in the middle. Relate wavelength (λ) and frequency (f) using the following equation:

v = f * λ

where the wavelength is measured in meters (m), the frequency is measured in Hertz (Hz) and the speed is measured in
`(m)/(s)`.

In this case:

• f: 349.2 Hz
• λ: 4.25 m

So,

v= 349.2 Hz* 4.25 m

v= 1,484.1
`(m)/(s)`

The speed of a sound wave in this water is 1,484.1
`(m)/(s)`

Answer 2

The speed of a spound wave in this water is 1484.1 m/s

Step-by-step explanation:

Step 1: Data given

Frequency = 349.2 Hz

Wavelength = 4.25 m

Step 2: Calculate the speed

v = f*λ

⇒ with v= the speed of a sound wave in this water

⇒ with f = the frequency = 349.2 Hz

⇒ with λ = the wavelength = 4.25 m

v = 349.2 Hz * 4.25 m = 1484.1 m/s

The speed of a spound wave in this water is 1484.1 m/s